The Markov power moment problem in problems of controllability and frequency extinguishing for the wave equation on a half-axis
- 作者：Sklyar ; G.M. ; Fardigola ; L.V.
- 关键词：Wave equation ; Half-axis ; Controllability problem ; Moment problem ; Frequency extinguishing problem
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2002
- 期刊代码：76_0022247x
- 类别：mt
- 出版时间：December 1, 2002
- 卷：276
- 期：1
- 页码：109-134
- 文件大小：195 K
摘要
In this paper necessary and sufficient conditions of null-controllability and approximate null-controllability are obtained for the wave equation on a half-axis. Controls solving these problems are found explicitly. Moreover, bang-bang controls solving the approximate null-controllability problem are constructed with the aid of solutions of a frequency extinguishing problem in the restricted band (−a,a) for this equation and the Markov power moment problem.